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Finding the Fourth Proportional to 22,555.12, 33,809.76 and 9,414.64

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Solution

The fourth proportional to 22,555.12, 33,809.76 and 9,414.64 is: 14,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,555.12 : 33,809.76 = 9,414.64 : x
  2. Step 2: Convert to fraction form
    22,555.12/33,809.76 = 9,414.64/x
  3. Step 3: Cross multiply
    22,555.12x = 33,809.76 × 9,414.64
  4. Step 4: Simplify right side
    22,555.12x = 318,306,718.89
  5. Step 5: Solve for x
    x = 318,306,718.89/22,555.12
  6. Step 6: Final answer
    x = 14,112.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.